The following sequence {an}∞n = 0 are defined by a recurrence relation. Assume each sequence is monotonic and bounded.a. Find the first five terms a0, a1, ⋅ ⋅ ⋅, a4 of each sequence.b. Determine the limit of each sequence. an + 1 = √((1)/(3)an + 34); a0 = 81

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.